Which ordered pair is the best estimate for the solution of the
1 answer:
Answer:
(a) (3.5, 1.6)
Step-by-step explanation:
The solution of the system of equations is the point where the lines cross. That point appears to be slightly above the middle of the grid square bounded horizontally by x=3 and x=4, and bounded vertically by y=1 and y=2.
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The solution ordered pair is (x-coordinate, y-coordinate). We observe that the x-coordinate is approximately 3.5, The y-coordinate is slightly more than 1.5, but not as great as 1.9. So, the approximate solution is ...
(x, y) ≈ (3.5, 1.6)
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The graphing calculator shows the solution is quite close to (3.5, 1.6).
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Answer:
The original duration of the tour = 20 days
Step-by-step explanation:
Solution:
Total expenses for the tour = $360
Let the original tour duration be for days.
So, for days the total expense = $360
<em>Thus the daily expense in dollars can be given by</em> =
Tour extension and effect on daily expenses.
The tour is extended by 4 days.
<em>Tour duration now</em> = days
On extension, his daily expense is cut by $3
<em>New daily expense in dollars </em>=
Total expense in dollars can now be given as:
Simplifying by using distribution (FOIL).
We know total expense remains the same which is = $360.
So, we have the equation as:
Multiplying each term with to remove fractions.
Subtracting both sides
Dividing each term with -3.
Adding both sides.
Solving using quadratic formula.
For a quadratic equation:
Plugging in values from the equation we got.
So, we have
and
and
∴ and
Since number of days cannot be negative, so we take as the solution for the equation.
Thus, the original duration of the tour = 20 days